Is 6997 a prime number?

6 997 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 6 997 is about 83.648.

Thus, the square root of 6 997 is not an integer, and therefore 6 997 is not a square number.

Anyway, 6 997 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 6 997) is the result of the product of this number (6 997) by itself (i.e., 6 997 × 6 997); the square of 6 997 is sometimes called "raising 6 997 to the power 2", or "6 997 squared".

The square of 6 997 is 48 958 009 because 6 997 × 6 997 = 6 997² = 48 958 009.

As a consequence, 6 997 is the square root of 48 958 009.

6 997 is a number with 4 digits.

The multiples of 6 997 are all integers evenly divisible by 6 997, that is all numbers such that the remainder of the division by 6 997 is zero. There are infinitely many multiples of 6 997. The smallest multiples of 6 997 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6 997 too, since 0 × 6 997 = 0
• 6 997: indeed, 6 997 is a multiple of itself, since 6 997 is evenly divisible by 6 997 (we have 6 997 / 6 997 = 1, so the remainder of this division is indeed zero)
• 13 994: indeed, 13 994 = 6 997 × 2
• 20 991: indeed, 20 991 = 6 997 × 3
• 27 988: indeed, 27 988 = 6 997 × 4
• 34 985: indeed, 34 985 = 6 997 × 5
• etc.

• Preceding numbers: …6 995, 6 996
• Following numbers: 6 998, 6 999…

Nearest numbers from 6 997

• Preceding prime number: 6 991
• Following prime number: 7 001

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• 6 997 est-il un nombre premier ?